Graphs, Algorithms, and Optimization: Discrete Mathematics and Its Applications
Autor William Kocay, Donald L. Kreheren Limba Engleză Paperback – 21 ian 2023
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 305.87 lei 6-8 săpt. | |
CRC Press – 21 ian 2023 | 305.87 lei 6-8 săpt. | |
Hardback (1) | 463.40 lei 6-8 săpt. | |
CRC Press – 26 sep 2016 | 463.40 lei 6-8 săpt. |
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Specificații
ISBN-13: 9781032477152
ISBN-10: 1032477156
Pagini: 566
Ilustrații: 302
Dimensiuni: 156 x 234 x 34 mm
Greutate: 0.84 kg
Ediția:2
Editura: CRC Press
Colecția CRC Press
Seria Discrete Mathematics and Its Applications
Locul publicării:Boca Raton, United States
ISBN-10: 1032477156
Pagini: 566
Ilustrații: 302
Dimensiuni: 156 x 234 x 34 mm
Greutate: 0.84 kg
Ediția:2
Editura: CRC Press
Colecția CRC Press
Seria Discrete Mathematics and Its Applications
Locul publicării:Boca Raton, United States
Public țintă
UndergraduateNotă biografică
William Kocay is a professor in the Department of Computer Science at St. Paul's College of the University of Manitoba, Canada.
Donald Kreher is a professor of mathematical sciences at Michigan Technological University, Houghton, Michigan.
Donald Kreher is a professor of mathematical sciences at Michigan Technological University, Houghton, Michigan.
Recenzii
Given this is the second edition of a respected text, it is important to examine what has changed and how the text has improved. Using an “algorithmic viewpoint,” the authors explore the standard aspects of graph theory—complements, paths, walks, subgraphs, trees, cycles, connectivity, symmetry, network flows, digraphs, colorings, graph matchings, and planar graphs. The expanded topics include explorations of subgraph counting, graphs and symmetries via permutation groups, graph embeddings on topological surfaces such as the Klein bottle and the double torus, and the connections of graphs to linear programming, including the primal-dual algorithm and discrete considerations, where the integral variables are bounded. Other text changes include some proof corrections and meaningful content revisions. Each chapter section contains rich exercise sets, complemented by chapter notes and an extensive bibliography. The authors’ claim is correct—their style is "rigorous, but informal," insightful, and it works. The text’s algorithms are generic in style, and usable with any major language. In summary, aimed at computer science and mathematics students, this revised text on graph theory will both challenge upper-level undergraduates and provide a comprehensive foundation for graduate students.
--J. Johnson, Western Washington University
--J. Johnson, Western Washington University
Cuprins
Preface; 1 Graphs and Their Complements; 2 Paths and Walks; 3 Subgraphs; 4 Some Special Classes of Graphs; 5 Trees and Cycles; 6 The Structure of Trees; 7 Connectivity; 8 Graphs and Symmetry; 9 Alternating Paths and Matchings; 10 Network Flows; 11 Hamilton Cycles; 12 Digraphs; 13 Graph Colorings; 14 Planar Graphs; 15 Graphs and Surfaces; 16 The Klein Bottle and the Double Torus; 17 Linear Programming; 18 The Primal-Dual Algorithm; 19 Discrete Linear Programming; Bibliography; Index
Descriere
This comprehensive text features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. It covers the major areas of graph theory, including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions